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kolezko [41]
3 years ago
5

Solve for W when: B = 703 * w/h (squared). Note: w/h is a fraction where h is squared

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0
We are given with the expression <span> B = 703 * w / h^2. To isolate w in the function, we multiply the whole equation by h^2. This results to B h^2 = 703 w. Next, we divide the equation by 703 to isolate w. The final expression of w becomes w = B h^2 / 703  </span>
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The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3. 5b. Whi
Dmitrij [34]

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable. The values given in the table 3 matches the equation and includes the viable solutions.

<h3>Given information-</h3>

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation,

c=3.5b

The quantity of the bread depends on the quantity of the loaves.

<h3>Dependent variable</h3>

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable.

Lets check which table satisfy the above equation.

Table 1-

In the table the first values of the bread and the loves is -2 and -7. The quantity of a bread and loves can not be negative. Thus the table 1 does not provides the viable solution.

Table 2-

In the table 2 the value of the third row is 1.5 loaves and 5.25 breads. Check this by the given equation. When the value of loaves is 1.5 then the value of the bread is,

c=3.5\times1.5

c=4.5

The value of bread must be 4.5. Thus the table 2 does not provides the viable solutions.

Table 3-

Put the values of the loaves in the given equation one by one,

When the value of loaves is 0 then the value of the bread is,

c=3.5\times0=0

When the value of loaves is 3 then the value of the bread is,

c=3.5\times3=10.5

When the value of loaves is 6 then the value of the bread is,

c=3.5\times=21

When the value of loaves is 9 then the value of the bread is,

c=3.5\times9=31.5

All the values of the table 3 satisfies the given equation.

Hence, the values given in the table 3 matches the equation and includes the viable solutions.

Learn more about the dependent variables here;

brainly.com/question/967776

8 0
2 years ago
Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?
NeX [460]

Answer:

The function is y~=~12 ~-~ 0.5 \cdot x.

The slope is m=-0.5.

The y-intercept is b=12.

Step-by-step explanation:

Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :

y=mx+b

We have the following data:

\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}

To find the line of best fit for the points given, you must:

Step 1: Find X\cdot Yand X\cdot X as it was done in the table below.

Step 2: Find the sum of every column:

\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200

Step 3: Use the following equations to find <em>b</em> and <em>m</em>:

\begin{aligned}        b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}

The graph of the regression line is:

5 0
3 years ago
How do you slove -8 x (-2/3)<br> Answer Asap
kenny6666 [7]

Answer:

5.33333.....

Step-by-step explanation:

I used symbolab to get my answer make me brainleist pls

5 0
3 years ago
Are the set of all square numbers under 50 and the set of all triangular numbers that are less than 50 disjoint?
Alina [70]

Answer:

No, the two sets are not disjoint.

Step-by-step explanation:

Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45

Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49

They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.

7 0
3 years ago
Round of 248,682 to the nearest hundred
zaharov [31]

248,700

682 is closer to 700 than to 600

8 0
3 years ago
Read 2 more answers
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